Divide `4p ^(2) + 2p +2` by '2p' and write division fact.

0 and 4 are the respective remainders when the polynomial p(x)=x^(3)-px+q is divided by (x - 2) and (x + 2). What will be the remainder when p(x) is divided by x ?

Find the remainder when x ^(3) - px ^(2) + 6x -p is divided by x -p.

Divide the join of points P(2, 5) and Q(-7, 4) in the ratio 1 : 2 internally

Divide the join of points P(2, 5) and Q(-7, 4) in the ratio 1 : 2 externally

Tangent is drawn at any point (p ,q) on the parabola y^2=4a xdot Tangents are drawn from any point on this tangant to the circle x^2+y^2=a^2 , such that the chords of contact pass through a fixed point (r , s) . Then p ,q ,r and s can hold the relation (a) r^2q=4p^2s (b) r q^2=4p s^2 (c) r q^2=-4p s^2 (d) r^2q=-4p^2s

The points (p+1,1), (2p+1,3) and (2p+2, 2p) are collinear, if

If the equation (4p + 2)^2 - p(p - 1) = 0 is expressed in the from ap^2 + bp + c = 0 (a ne 0) then the value of a is

If p be a natural number, then prove that, p^(n+1)+(p+1)^(2n-1) is divisible by (p^(2)+p+1) for every positive integer n.

Write True or False Compound interest of Rs 2p for n/2 years at the rate of interest 2r% per annum is Rs 2p(1-r/50)-2p .

Find p (0), p (1) and p (2) for the polynomials p (t) = 2 +1 + 2t^2 -t^3